Answer on Statistics and Probability Question for Jason

2013-02-07T11:04:32-0500

Question #23955

In one city, 51.5% of adults are female, 8.2% of adults are left-handed, and 5.2% are left-handed females. For an adult selected at random from the letF = event that person is femaleL = event person is left handed.Find P (F or L) Round approximations the three decimal places.

Expert's answer

2013-02-12T09:47:22-0500

The probability of at least one of the two joint events is the sum of the probabilities of these events without probability of their co-occurrenceP( F or L) = P(F) + P(L) - P (FL)P(F) - probability of the event FP(L) - probability of the event PP(FL) - probability of event (P&F)In our caseP(F) = 0.515 - probability what adult is femaleP(L) = 0.082 - probability what adult is left-handedP(FL) = 0.052 - probability what adult is& left-handed femaleP (F or L) = 0.515+0.082-0.052=0.545=54.5%Answer:& P (F or L) =& 54.5%